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arxiv: 1503.08047 · v1 · pith:63FURIMDnew · submitted 2015-03-27 · 🧮 math.NT · math.DS

Normality in Pisot Numeration Systems

classification 🧮 math.NT math.DS
keywords basenumberpisotbasesconcatenationcopelandexpansionfinite
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Copeland and Erd\H{o}s showed that the concatenation of primes when written in base $10$ yields a real number that is normal to base $10$. We generalize this result to Pisot number bases in which all integers have finite expansion.

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